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Avila gives a lecture this Wednesday in honor of Jean Bourgain.

IMPA's extraordinary researcher, Artur Avila, Fields Medal winner in 2014, will give a lecture this Wednesday (16), at 5 pm, in the Ricardo Mañe Auditorium, at IMPA, in homage to the mathematician Jean Bourgain. A researcher at the Institute for Advanced Studies (IAS), the Belgian passed away last December, at the age of 64.

In the lecture, Avila will detail the great impact of Bourgain's work in various areas of mathematics, especially research with quasi-periodic Schrödinger operators. The Brazilian also made important contributions to the field by studying the evolution of quantum states in physical systems governed by these operators.

In 2014, Avila spoke about Bougain's work in an interview published in the official ICM 2014 newsletter in Seoul.

“His work is very inspiring. I was certainly drawn to this particular area by studying his papers. They show a type of map that I hadn't seen before. I was attracted to his style of mathematics. At the same time, it was very risky to work in the same area as Jean Bourgain, but somehow I managed to find my place,” he stated at the time.

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